While gravitational potential \(\phi =0\)  or gravitational field \(\nabla \phi =0\)  in the region
\(\partial \Sigma \) , the difference of energy \( \Delta E\)  will become zero. Let us turn our attention
to the calculation of potential energy, the definition of zero-potential surface is primarily important
condition. In the Einstein prescription, the first derivative of the metric \(g_{\mu \nu , \alpha }\) 
was required to be zero, so the zero-potential surface of the Einstein energy-momentum complex is
a flat spacetime. However, there is no manifest condition in the Møller prescription, and the
zero-potential surface of the Møller energy-momentum complex can not be described. The
zero-potential surface will be an important role in the energy-momentum localization of general
relativity and should be considered seriously. Meanwhile, the choice of reference in the boundary
term of the quasi-local energy expressions [1]} and the role of thermodynamic
potential [2]}, [3]}, could be associated with the quasi-localized energy.
